Consider the Following Decision Table with Rewards in $ Millions

Multiple Choice

Consider the following decision table with rewards in $ millions. $\begin{array}{r}\text { State of Nature }\\(\begin{array}{|c|c|c|c|}\hline\text { Decision Alternatives } & S_{1} & S_{2} & S_{3} \\\hline d_{1} & -1 & 2 & 8 \\\hline d_{2} & -3 & y & 5 \\\hline d_{3} & -0.5 & 0.75 & 1 \\\hline d_{4} & 0 & 0 & 0 \\\hline d_{5} & x & -1 & -1\\\hline\end{array}\end{array}$
If you are using the maximin criterion and decide d₄, then x y is ______.

A) at most -1
B) less than -1
C) any value
D) cannot be determined without knowing the value of y
E) less than -3